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On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems by I. G. Rosen

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1NASA Technical Reports Server (NTRS) 19900012250: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems

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The convergence of solutions to the discrete or sampled time linear quadratic regulator problem and associated Riccati equation for infinite dimensional systems to the solutions to the corresponding continuous time problem and equation, as the length of the sampling interval (the sampling rate) tends toward zero (infinity) is established. Both the finite and infinite time horizon problems are studied. In the finite time horizon case, strong continuity of the operators which define the control system and performance index together with a stability and consistency condition on the sampling scheme are required. For the infinite time horizon problem, in addition, the sampled systems must be stabilizable and detectable, uniformly with respect to the sampling rate. Classes of systems for which this condition can be verified are discussed. Results of numerical studies involving the control of a heat/diffusion equation, a hereditary of delay system, and a flexible beam are presented and discussed.

“NASA Technical Reports Server (NTRS) 19900012250: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems” Metadata:

  • Title: ➤  NASA Technical Reports Server (NTRS) 19900012250: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems
  • Author: ➤  
  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 46.83 Mbs, the file-s for this book were downloaded 68 times, the file-s went public at Sat Sep 24 2016.

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2DTIC ADA220394: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems

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The convergence of solutions to the discrete or sampled time linear quadratic regulator problem and associated Riccati equation for infinite dimensional systems to the solutions to the corresponding continuous time problem and equation, as the length of the sampling interval (the sampling rate) tends toward zero (infinity) is established. Both the finite and infinite time horizon problems are studied. In the finite time horizon case, strong continuity of the operators which define the control system and performance index together with a stability and consistency condition on the sampling scheme are required. For the infinite time horizon problem, in addition, the sampled systems must be stabilizable and detectable, uniformly with respect to the sampling rate. Classes of systems for which this condition can be verified are discussed. Results of numerical studies involving the control of a heat/diffusion equation, a hereditary of delay system, and a flexible beam are presented and discussed.

“DTIC ADA220394: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems” Metadata:

  • Title: ➤  DTIC ADA220394: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems
  • Author: ➤  
  • Language: English

“DTIC ADA220394: On The Continuous Dependence With Respect To Sampling Of The Linear Quadratic Regulator Problem For Distributed Parameter Systems” Subjects and Themes:

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The book is available for download in "texts" format, the size of the file-s is: 32.71 Mbs, the file-s for this book were downloaded 47 times, the file-s went public at Sun Feb 25 2018.

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